Prime p₀= 2971739407549012559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2971737540582981613	0 10 16 46 84 106 154 156 268 270 318 340 378 408 414 424	-1866966030946
SPT(16)	2971737578565813829	0 18 30 58 120 142 148 168 172 192 198 220 282 310 322 340	-1828983198730
SPT(16)	2971737590529493211	0 2 6 20 26 32 60 72 86 98 126 132 138 152 156 158	-1817019519348
SPT(16)	2971738568433880339	0 34 42 72 94 142 208 240 262 294 360 408 430 460 468 502	-839115132220
TPT(14)	2971738732894294409	0 2 48 50 60 62 132 134 138 140 168 170 210 212	-674654718150
SPT(16)	2971738789173051811	0 30 36 130 160 198 228 246 250 268 298 336 366 460 466 496	-618375960748
SPT(13)	2971740250356118541	0 18 42 48 102 108 150 192 198 252 258 282 300	842807105982
SPT(13)	2971740604943283137	0 24 60 90 150 180 222 264 294 354 384 420 444	1197394270578
SPT(16)	2971741547678258701	0 16 48 58 76 106 108 118 198 208 210 240 258 268 300 316	2140129246142
STPT(10)	2971742416089663677	0 2 24 26 42 44 60 62 84 86	3008540651118
STPT(10)	2971742578651395917	0 2 30 32 42 44 54 56 84 86	3171102383358